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정규화 K-평균 군집화×정규화된 가우시안 혼합 모델×
분야머신러닝머신러닝
계열Machine learningMachine learning
기원 연도20102000s–2010s
창시자Witten, D. M. & Tibshirani, R. (sparse k-means formulation)Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter)
유형Regularized unsupervised clusteringProbabilistic clustering with regularization
원전Witten, D. M., & Tibshirani, R. (2010). A framework for feature selection in clustering. Journal of the American Statistical Association, 105(490), 713–726. DOI ↗Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗
별칭sparse k-means, penalized k-means, regularized clustering, constrained k-meansRegularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM
관련25
요약Regularized k-means extends standard k-means by adding a penalty term — most commonly an L1 (lasso-type) or L2 constraint — to the objective function. This discourages degenerate cluster solutions and, in the sparse variant introduced by Witten and Tibshirani (2010), simultaneously selects the features that drive cluster separation, making it especially valuable in high-dimensional settings where many features are irrelevant.A Regularized Gaussian Mixture Model (GMM) adds a small positive constant to the diagonal of each component covariance matrix during the Expectation-Maximization algorithm, preventing singular or near-singular matrices that cause numerical failures when the data are sparse, high-dimensional, or contain near-duplicate observations.
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